1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tamaranim1 [39]
3 years ago
12

Water stations will be placed every 600 meters of a fifteen kilometer race how many water stations will be needed

Mathematics
1 answer:
zaharov [31]3 years ago
3 0
15 km = 15,000 m
every 600 m, there is one water station (starting point at 600 m)
number of stations needed : 15000/600 = 25 water stations
You might be interested in
Ln x + ln (x + 1) = ln 56
Leni [432]

Answer:

x=7

Step-by-step explanation:

ln x +ln(x+1)=ln 56

ln x(x+1)=ln 56

so x(x+1)=56

x^2+x-56=0

(x+8)(x-7)=0

x= -8 or x=7

and lnx,x>0

so x=7

3 0
3 years ago
Need help with 4, thanks!
Veseljchak [2.6K]

Answer:

x=2

Step-by-step explanation:

In order to solve this problem, you need to find the scale factor. This is done through cross multiplying proportions. In this instance, you have to cross multiply x/4 by 3.5/7. When you multiply x and 7, you get 7x. When you multiply 3.5 and 4, you get 14. Simplify by isolating the variable, and you get 2.

7 0
3 years ago
3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55 mi/h and the other bus averages
Veronika [31]
Well you can just keep adding 55 =1hr until you get to 400 the same with 45
6 0
3 years ago
Helpppp with this math
Ilia_Sergeevich [38]

9514 1404 393

Answer:

  x = 8 1/3

Step-by-step explanation:

Put the known values into the equation and solve for x.

  f(x) = 3x -1

  24 = 3x -1 . . . . . use 24 for f(x)

  25 = 3x . . . . . . . add 1 to both sides

  25/3 = x . . . . . . divide both sides by 3

The input is x = 8 1/3.

4 0
3 years ago
Other questions:
  • How many solutions does the following equation have? |4x+12|=0
    15·2 answers
  • In a certain​ chemical, the ratio of zinc to copper is 3 to 11. A jar of the chemical contains 462 grams of copper. How many gra
    15·1 answer
  • Pls help I’m stuck on it
    15·2 answers
  • Can a irrational number be a rational number?
    6·1 answer
  • Write an expression that is equivalent to x+x+x+x+-20
    9·1 answer
  • Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form
    12·1 answer
  • A tricycle is sold at a gain of 15%. Had it been sold for ₹ 108 more, the profit would have been 20%. Find its cost price.
    14·1 answer
  • Answer fast! Will mark brainliest-- Reflect quadrilateral SQRT over the y-axis. Then translate the new quadrilateral 3 units to
    6·2 answers
  • Janeece built a rectangular garden bed that was 14
    5·1 answer
  • NO LINKS!! Please help​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!